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Finding the Fourth Proportional to 299,304.95, 413,049.51 and 163,347.62

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Solution

The fourth proportional to 299,304.95, 413,049.51 and 163,347.62 is: 225,424.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,304.95 : 413,049.51 = 163,347.62 : x
  2. Step 2: Convert to fraction form
    299,304.95/413,049.51 = 163,347.62/x
  3. Step 3: Cross multiply
    299,304.95x = 413,049.51 × 163,347.62
  4. Step 4: Simplify right side
    299,304.95x = 67,470,652,335.42
  5. Step 5: Solve for x
    x = 67,470,652,335.42/299,304.95
  6. Step 6: Final answer
    x = 225,424.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.